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belka [17]
3 years ago
15

Parallelogram JKLM is shown on the coordinate plane below:

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

if JKLM is rotated 270° clockwise around the origin, the new vertices is at:

J'(-2, -6), K'(-6, -4), L'(-3, -3) and M'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the movement of a figure about a fixed point. If a point A(x, y) is rotated 270° clockwise around the origin, the new point is A'(-y, x).

The vertices of the parallelogram is at J(-6, 2), K(-4, 6), L(-3, 3) and M(-5, -1). Therefore if JKLM is rotated 270° clockwise around the origin, the new vertices is at:

J'(-2, -6), K'(-6, -4), L'(-3, -3) and M'(1, -5)

Therefore K′(−6, −4); L′(−3, −3) is the correct option

Find out more at: brainly.com/question/11707700

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If f(x) =x^2 + 4x and g(x) = 2x +4, find (fg)(1)
snow_lady [41]

Step-by-step explanation:

Set up the composite result function.

f(g(x))f(g(x))

Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.

f(x2)=2(x2)−4f(x2)=2(x2)-4

Multiply 22 by x2x2.

f(x2)=2x2−4f(x2)=2x2-4

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29) Find the area of a right triangle with a base of 22 cm and height of 10 cm.
Arte-miy333 [17]

Answer:

110 cm²

Step-by-step explanation:

The area of a triangle is 1/2 times base times height.

A = 1/2bh

A = 1/2(22)(10)

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19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
harkovskaia [24]

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Step-by-step explanation:

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Step-by-step explanation:

5 0
3 years ago
Find the zeroes of the quadratic polynomial 4x²-4x+1 and verify the relation between its zeroes and coefficients
FromTheMoon [43]

Answer:

A) zeros are x = ½ or x = ½

B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)

>> Product of the zeros = Constant term/Coefficient of x²

Step-by-step explanation:

To find the zeros, we will equate the polynomial to zero.

Thus;

4x² - 4x + 1 = 0

Using quadratic equation, we can find the zeros.

x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)

x = (4 ± 0)/8

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Thus, zeros are x = ½ or x = ½

Now, to find the relationships between its zeroes and coefficients;

Sum of zeroes = ½ + ½ = 1

This is equal to -b/a = -(-4)/4 = 1.

Thus;

sum of zeros = (-Coefficient of x)/(Coefficient of x²)

Product of zeros = ½ × ½ = ¼

c/a = 1/4

This is equal to the product of the zeros.

Thus;

Product of the zeros = Constant term/Coefficient of x²

6 0
3 years ago
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